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Finding the Third Proportional to 6,114 and 11,356

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Solution

The third proportional to 6,114 and 11,356 is: 21,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 11,356 = 11,356 : x
  2. Step 2: Convert to fraction form
    6,114/11,356 = 11,356/x
  3. Step 3: Cross multiply
    6,114x = 11,356 × 11,356
  4. Step 4: Simplify right side
    6,114x = 128,958,736
  5. Step 5: Solve for x
    x = 128,958,736/6,114
  6. Step 6: Final answer
    x = 21,092.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.